Halakhah for Menachot 89:2

And the rest of the many details of this commandment are elucidated in the third chapter of Chullin. And the laws of the other prohibitions that we wrote above which are understood from the understanding of the language of the verse inside [of it] are in this same exact chapter and in the last chapter of Makkot and the first of Bekhorot. And this warning was repeated in the Prophets in the book of Ezekiel 44:31 for the priests alone, as it is written, "Any carcass or torn animal [...] the priests shall not eat." And the Sages informed us (Menachot 45a) that it was repeated [specifically] for them, as Scripture commanded them to eat the bird sin-offering with melikah (ritual decapitation), even though it is forbidden to [other Jews] like a carcass. And maybe you would think from this that non-consecrated meat would also be permissible for them with melikah or an inferior slaughtering, as the Torah is not exacting with them. As since they were excluded for one thing, they would would be excluded regarding all matters of slaughter. And therefore, the prophet warned them explicitly to inform us that melikah alone is only permissible with a sacrifice, but with non-consecrated meat, they are still forbidden like [other Jews].